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Finding the Fourth Proportional to 381,022.92, 571,490.52 and 100,562.04

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Solution

The fourth proportional to 381,022.92, 571,490.52 and 100,562.04 is: 150,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,022.92 : 571,490.52 = 100,562.04 : x
  2. Step 2: Convert to fraction form
    381,022.92/571,490.52 = 100,562.04/x
  3. Step 3: Cross multiply
    381,022.92x = 571,490.52 × 100,562.04
  4. Step 4: Simplify right side
    381,022.92x = 57,470,252,531.86
  5. Step 5: Solve for x
    x = 57,470,252,531.86/381,022.92
  6. Step 6: Final answer
    x = 150,831.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.